Question

Tim’s coworkers gave him a $4.00 tip for gas money each time he went to the coffee shop to pick up coffee for his coworkers. Each time he went, he also bought a $2.50 cookie for himself. Let x
represent the number of times Tim went to the coffee shop. Choose the function that represents the total amount that Tim had acquired when he went to the coffee shop x times.

Function #1: f(x)+g(x)=2.5x+4x=6.5x


Function #2: f(x)−g(x)=4x−2.5x=1.5x


Function #3: f(x)−g(x)=2.5x−4x=−1.5x


Function #4: f(x)+g(x)=4x−2.5−2.5x=1.5x−2.5


(1 point)
Function #
represents the total money that Tim acquired after x coffee shop visits.

Answer 1

To determine which function represents the total amount Tim acquired after going to the coffee shop \( x \) times, we need to calculate the total income from tips and the total cost of cookies.

1. Tim receives a tip of $4.00 each time he goes to the coffee shop. Therefore, after \( x \) visits, he earns:
\[
4.00x \text{ (total tips)}
\]

2. Tim buys a cookie for $2.50 each time he goes. Therefore, after \( x \) visits, he spends:
\[
2.50x \text{ (total cost for cookies)}
\]

To find the total amount that Tim has acquired, we subtract the total cost from the total income:

\[
\text{Total Money} = \text{Total Tips} - \text{Total Cost for Cookies} = 4.00x - 2.50x
\]

Calculating this gives us:

\[
4.00x - 2.50x = (4.00 - 2.50)x = 1.50x
\]

Therefore, the function that represents the total money that Tim has after \( x \) coffee shop visits is:

\[
1.5x
\]

Looking at the options provided, this corresponds to:

**Function #2: \( f(x) - g(x) = 4x - 2.5x = 1.5x \)**

Thus, the correct answer is:

Function #2